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Journal articles on the topic 'Mean square displacement'

Author: Grafiati
Published: 4 June 2021
Last updated: 21 February 2023

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1

Ebeling. "Nonlinear Brownian motion - mean square displacement." Condensed Matter Physics 7, no. 3 (2004): 539. http://dx.doi.org/10.5488/cmp.7.3.539.

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2

Rosen, Mary Ellen, Christopher P. Grant, and J. C. Dallon. "Mean square displacement for a discrete centroid model of cell motion." PLOS ONE 16, no. 12 (December 20, 2021): e0261021. http://dx.doi.org/10.1371/journal.pone.0261021.

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The mean square displacement (MSD) is an important statistical measure on a stochastic process or a trajectory. In this paper we find an approximation to the mean square displacement for a model of cell motion. The model is a discrete-time jump process which approximates a force-based model for cell motion. In cell motion, the mean square displacement not only gives a measure of overall drift, but it is also an indicator of mode of transport. The key to finding the approximation is to find the mean square displacement for a subset of the state space and use it as an approximation for the entire state space. We give some intuition as to why this is an unexpectedly good approximation. A lower bound and upper bound for the mean square displacement are also given. We show that, although the upper bound is far from the computed mean square displacement, in rare cases the large displacements are approached.
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3

Hou, Ji-Xuan. "Determine Mesh Size through Monomer Mean-Square Displacement." Polymers 11, no. 9 (August 27, 2019): 1405. http://dx.doi.org/10.3390/polym11091405.

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A dynamic method to determine the main parameter of the tube theory through monomer mean-square displacement is discussed in this paper. The tube step length can be measured from the intersection of the slope- 1 2 line and the slope- 1 4 line in log-log plot, and the tube diameter can be obtained by recording the time at which g 1 data start to leave the slope- 1 2 regime. According to recent simulation data, the ratio of the tube step length to the tube diameter was found to be about 2 for different entangled polymer systems. Since measuring the tube diameter does not require g 1 data to reach the slope- 1 4 regime, this could be the best way to find the entanglement length from microscopic consideration.
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4

Börgers, Christoph, and Claude Greengard. "On the Mean Square Displacement in Lévy Walks." SIAM Journal on Applied Mathematics 80, no. 3 (January 2020): 1175–96. http://dx.doi.org/10.1137/19m1251813.

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5

Kim, Eun-jin. "Mean square displacement in small-scale nonlinear dynamos." Physics of Plasmas 7, no. 5 (May 2000): 1746–51. http://dx.doi.org/10.1063/1.873994.

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6

Guimarães, Renato Ribeiro, Denner Serafim Vieira, Thiago Petrucci, Hatsumi Mukai, Paulo Ricardo Garcia Fernandes, and Renio dos Santos Mendes. "Electrical conductivity and an approximate mean square displacement." Indian Journal of Physics 93, no. 11 (March 12, 2019): 1437–43. http://dx.doi.org/10.1007/s12648-019-01414-w.

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7

Hahn, K., and J. Karger. "Propagator and mean-square displacement in single-file systems." Journal of Physics A: Mathematical and General 28, no. 11 (June 7, 1995): 3061–70. http://dx.doi.org/10.1088/0305-4470/28/11/010.

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8

Schrøder, Thomas B., and Jeppe C. Dyre. "Solid-like mean-square displacement in glass-forming liquids." Journal of Chemical Physics 152, no. 14 (April 14, 2020): 141101. http://dx.doi.org/10.1063/5.0004093.

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9

Shukla, R. C. "Atomic mean-square displacement in fcc metals: Repulsive potentials." Philosophical Magazine Letters 73, no. 2 (February 1996): 79–84. http://dx.doi.org/10.1080/095008396181028.

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10

Hou, Ji-Xuan. "Note: Determine entanglement length through monomer mean-square displacement." Journal of Chemical Physics 146, no. 2 (January 14, 2017): 026101. http://dx.doi.org/10.1063/1.4973871.

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11

ZUBOV, V. I., M. F. PASCUAL, and C. G. RODRIGUES. "ON THE INTERATOMIC CORRELATIONS AND MEAN SQUARE RELATIVE ATOMIC DISPLACEMENTS IN AN ANHARMONIC MODEL OF THE CLOSE-PACKED CRYSTAL." Modern Physics Letters B 09, no. 14 (June 20, 1995): 839–47. http://dx.doi.org/10.1142/s0217984995000796.

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The correlative method of unsymmetrized self-consistent field (CUSF) is used to study the interatomic correlations and mean square displacements in anharmonic crystals. In the first order of CUSF we have derived the formula for the atomic mean square displacement and quadratic correlation between displacements of two nearest neighbors along the line passing through their centers [Formula: see text] where n is the dimensionality of a lattice and Z is the coordinational number. In the second order of CUSF we have calculated the quadratic correlation moments and mean square relative displacements in the two-dimensional model of an anharmonic crystal with hexagonal lattice. The results are compared with those for square lattice obtained previously.
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12

Sarmiento-Gomez, Erick, Iván Santamaría-Holek, and Rolando Castillo. "Mean-Square Displacement of Particles in Slightly Interconnected Polymer Networks." Journal of Physical Chemistry B 118, no. 4 (January 21, 2014): 1146–58. http://dx.doi.org/10.1021/jp4105344.

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13

Yoshiasa, Akira, Takuo Tamura, Osamu Kamishima, Kei-ichiro Murai, Kiyoshi Ogata, and Hiroshi Mori. "Local structure and mean-square relative displacement in SiO2and GeO2polymorphs." Journal of Synchrotron Radiation 6, no. 5 (September 1, 1999): 1051–58. http://dx.doi.org/10.1107/s0909049599005634.

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14

Nan-Zhi, Zou, Xing Ding-Yu, and Gong Chang-De. "Influence of Interfaces on Atomic Mean Square Displacement of Crystal." Communications in Theoretical Physics 4, no. 4 (July 1985): 425–35. http://dx.doi.org/10.1088/0253-6102/4/4/425.

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15

Balashov, S. M., V. K. Fedyanin, and Y. N. Venevtsev. "Anharmonicity and the mean square displacement in perovskite-type crystals." Solid State Communications 53, no. 6 (February 1985): 555–57. http://dx.doi.org/10.1016/0038-1098(85)90191-7.

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16

Hofmann, M., B. Kresse, A. F. Privalov, L. Heymann, L. Willner, N. Aksel, N. Fatkullin, F. Fujara, and E. A. Rössler. "Segmental Mean Square Displacement: Field-Cycling1H Relaxometry vs Neutron Scattering." Macromolecules 49, no. 20 (October 14, 2016): 7945–51. http://dx.doi.org/10.1021/acs.macromol.6b01860.

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17

Li, X. L., G. W. Ford, and R. F. O'Connell. "Dissipative effects on the mean square displacement of an oscillator." Physica A: Statistical Mechanics and its Applications 193, no. 3-4 (April 1993): 575–86. http://dx.doi.org/10.1016/0378-4371(93)90492-m.

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18

Madsen, Anders Østergaard, Sax Mason, and Sine Larsen. "A neutron diffraction study of xylitol: derivation of mean square internal vibrations for H atoms from a rigid-body description." Acta Crystallographica Section B Structural Science 59, no. 5 (September 25, 2003): 653–63. http://dx.doi.org/10.1107/s010876810301557x.

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A neutron diffraction study of xylitol (C5O5H12) is presented. The nuclear anisotropic displacement parameters have been analysed showing that the carbon–oxygen skeleton conforms to a rigid-body (TLS) description. Applying this TLS model to the xylitol H atoms allows characterization of the internal molecular displacements of the H nuclei, assuming that the observed H nuclear mean-square displacements are a sum of the internal displacements and rigid-body displacements. These internal molecular displacements are very similar for chemically equivalent H atoms and in good agreement with the values obtained by other methods. In all cases the smallest eigenvector of the residual mean-square displacement tensor is almost parallel to the X—H bond. The use of ab initio calculations to obtain the internal vibrations in xylitol is discouraging. Another 12 structures extracted from the literature which have been investigated by neutron diffraction were subjected to a similar analysis. The results for the nine compounds investigated at low temperature conform to the results from xylitol and provide estimates of the internal vibrations of H atoms in a range of chemical environments.
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19

Morita, Akio. "Mean square displacement for Brownian motion under a square-well potential and non-Einstein behaviour." Journal of Physics A: Mathematical and General 29, no. 20 (October 21, 1996): 6525–29. http://dx.doi.org/10.1088/0305-4470/29/20/010.

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20

Khidirov, I., and S. J. Rakhmanov. "CONCENTRATION DEPENDENCE OF ATOMIC MEAN SQUARE DISPLACEMENT IN TITANIUM CARBONITRIDE TiCxNy." Alternative Energy and Ecology (ISJAEE), no. 13-15 (January 1, 2017): 68–76. http://dx.doi.org/10.15518/isjaee.2017.13-15.068-076.

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21

Shukla, R. C., and Hermann Hübschle. "Atomic mean-square displacement of a solid: A Green’s-function approach." Physical Review B 40, no. 3 (July 15, 1989): 1555–59. http://dx.doi.org/10.1103/physrevb.40.1555.

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22

Magazù, S., G. Maisano, F. Migliardo, and C. Mondelli. "Mean-Square Displacement Relationship in Bioprotectant Systems by Elastic Neutron Scattering." Biophysical Journal 86, no. 5 (May 2004): 3241–49. http://dx.doi.org/10.1016/s0006-3495(04)74372-6.

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23

Gitterman, M. "Mean-square displacement of a stochastic oscillator: Linear vs quadratic noise." Physica A: Statistical Mechanics and its Applications 391, no. 11 (June 2012): 3033–42. http://dx.doi.org/10.1016/j.physa.2012.01.021.

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24

Yin, Deshun, Yixin Wang, Yanqing Li, and Chen Cheng. "Variable-order fractional mean square displacement function with evolution of diffusibility." Physica A: Statistical Mechanics and its Applications 392, no. 19 (October 2013): 4571–75. http://dx.doi.org/10.1016/j.physa.2013.06.008.

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25

Michalet, Xavier. "Mean Square Displacement Analysis of Single-Particle Trajectories with Localization Error." Biophysical Journal 100, no. 3 (February 2011): 252a. http://dx.doi.org/10.1016/j.bpj.2010.12.1593.

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26

Wallace, Duane C., Giulia De Lorenzi-Venneri, and Eric D. Chisolm. "Atomic motion from the mean square displacement in a monatomic liquid." Journal of Physics: Condensed Matter 28, no. 18 (April 8, 2016): 185101. http://dx.doi.org/10.1088/0953-8984/28/18/185101.

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27

Brandani, Stefano. "An Equation for the Mean Square Displacement in Single File Diffusion." Journal of Catalysis 160, no. 2 (May 1996): 326–27. http://dx.doi.org/10.1006/jcat.1996.0153.

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28

Kim, YC, Y. Tamura, A. Yoshida, T. Ito, W. Shan, and Q. Yang. "Experimental investigation of aerodynamic vibrations of solar wing system." Advances in Structural Engineering 21, no. 15 (May 7, 2018): 2217–26. http://dx.doi.org/10.1177/1369433218770799.

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The general characteristics of aerodynamic vibrations of a solar wing system were investigated through wind tunnel tests using an aeroelastic model under four oncoming flows. In total, 12 solar panels were suspended by cables and orientated horizontally. Distances between panels were set constant. Tests showed that the fluctuating displacement increases proportionally to the square of the mean wind speed for all wind directions in boundary-layer flows. Larger fluctuating displacements were found for boundary-layer flows with larger power-law indices. Under low-turbulence flow, the fluctuating displacement increased proportionally to the square of the mean wind speed for wind directions between 0° and 30°, but an instability vibration was observed at high mean wind speed for wind directions larger than 40°. And when the wind direction was larger than 60°, a limited vibration was observed at low mean wind speed and the instability vibration was also observed at high mean wind speed. Fluctuating displacements under grid-generated flow showed a similar trend to that of the boundary-layer flows, although the values became much smaller.
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29

Hori, Takuma, and Chris Dames. "Analytical models for phonon mean free path in polycrystalline nanostructures based on mean square displacement." Journal of Applied Physics 132, no. 13 (October 7, 2022): 135104. http://dx.doi.org/10.1063/5.0103562.

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In this study, a numerical simulation method and analytical models for predicting the boundary scattering mean free path (MFP) of phonons in polycrystalline nanostructures are developed. The grain morphologies are assumed to be approximately equiaxed, i.e., forbidding needle-like or pancake-like morphologies. Adapting a technique from rarefied gas dynamics, the method evaluates the MFP from the mean square displacements of phonons that experience random motion and interface collisions in nanostructures. We confirm that the MFP in simple cubic polycrystalline nanostructures obtained by the simulations agrees with that reported in a previous study; this result supports the validity of the method. Two analytical models for high and low interfacial transmission probabilities at the crystal interfaces are also derived by considering the mean square displacements. We find that the grain-boundary intercept length distribution of polycrystalline structures is an essential parameter for determining this boundary scattering MFP. These analytical models reproduce the MFPs in simple cubic and Voronoi diagram polycrystalline nanostructures calculated by the numerical simulations. This result indicates that the boundary scattering MFP of phonons in polycrystalline nanostructures can be obtained once the intercept length distribution is evaluated, without any additional numerical simulations.
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30

Khalili Golmankhaneh, Alireza. "On the Fractal Langevin Equation." Fractal and Fractional 3, no. 1 (March 13, 2019): 11. http://dx.doi.org/10.3390/fractalfract3010011.

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In this paper, fractal stochastic Langevin equations are suggested, providing a mathematical model for random walks on the middle- τ Cantor set. The fractal mean square displacement of different random walks on the middle- τ Cantor set are presented. Fractal under-damped and over-damped Langevin equations, fractal scaled Brownian motion, and ultra-slow fractal scaled Brownian motion are suggested and the corresponding fractal mean square displacements are obtained. The results are plotted to show the details.
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31

Chen, Zengshun, Jun Fu, Yanjian Peng, Tuanhai Chen, LiKai Zhang, and Chenfeng Yuan. "Baseline Correction of Acceleration Data Based on a Hybrid EMD–DNN Method." Sensors 21, no. 18 (September 19, 2021): 6283. http://dx.doi.org/10.3390/s21186283.

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Measuring displacement response is essential in the field of structural health monitoring and seismic engineering. Numerical integration of the acceleration signal is a common measurement method of displacement data. However, due to the circumstances of ground tilt, low-frequency noise caused by instruments, hysteresis of the transducer, etc., it would generate a baseline drift phenomenon in acceleration integration, failing to obtain an actual displacement response. The improved traditional baseline correction methods still have some problems, such as high baseline correction error, poor adaptability, and narrow application scope. This paper proposes a deep neural network model based on empirical mode decomposition (EMD–DNN) to solve baseline correction by removing the drifting trend. The feature of multiple time sequences that EMD obtains is extracted via DNN, achieving the real displacement time history of prediction. In order to verify the effectiveness of the proposed method, two natural waves (EL centro wave, Taft wave) and one Artificial wave are selected to test in a shaking table test. Comparing the traditional methods such as the least squares method, EMD, and DNN method, EMD–DNN has the best baseline correction effect in terms of the evaluation indexes: Mean Absolute Error (MAE), Mean Square Error (MSE), Root Mean Square Error (RMSE), and degree of fit (R-Square).
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32

Shukla, R. C. "Green's function and atomic mean-square displacement: Phonon shift and width contributions." Philosophical Magazine B 74, no. 1 (July 1996): 13–23. http://dx.doi.org/10.1080/01418639608240324.

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33

Im, Seonghyuk, Hwidong Kim, Jiho Maeng, Jihwan Yu, Yongwook Cha, and Seong-Hun Paeng. "On the mean square displacement of a random walk on a graph." European Journal of Combinatorics 51 (January 2016): 227–35. http://dx.doi.org/10.1016/j.ejc.2015.05.009.

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34

Berezhkovskii, A. M., Yu A. Makhnovskii, and R. A. Suris. "Mean square displacement of a Brownian particle in the presence of traps." Physics Letters A 157, no. 2-3 (July 1991): 146–50. http://dx.doi.org/10.1016/0375-9601(91)90088-p.

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35

Dao, Dinh-Nam, and Li-Xin Guo. "New hybrid between SPEA/R with deep neural network: Application to predicting the multi-objective optimization of the stiffness parameter for powertrain mount systems." Journal of Low Frequency Noise, Vibration and Active Control 39, no. 4 (August 26, 2019): 850–65. http://dx.doi.org/10.1177/1461348419868322.

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In this study, a new methodology, hybrid Strength Pareto Evolutionary Algorithm Reference Direction (SPEA/R) with Deep Neural Network (HDNN&SPEA/R), has been developed to achieve cost optimization of stiffness parameter for powertrain mount systems. This problem is formalized as a multi-objective optimization problem involving six optimization objectives: mean square acceleration of a rear engine mount, mean square displacement of a rear engine mount, mean square acceleration of a front left engine mount, mean square displacement of a front left engine mount, mean square acceleration of a front right engine mount, and mean square displacement of a front right engine mount. A hybrid HDNN&SPEA/R is proposed with the integration of genetic algorithm, deep neural network, and a Strength Pareto evolutionary algorithm based on reference direction for multi-objective SPEA/R. Several benchmark functions are tested, and results reveal that the HDNN&SPEA/R is more efficient than the typical deep neural network. stiffness parameter for powertrain mount systems optimization with HDNN&SPEA/R is simulated, respectively. It proved the potential of the HDNN&SPEA/R for stiffness parameter for powertrain mount systems optimization problem.
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36

Malarski, Ryszar, Kamil Nagórski, and Marek Woźniak. "Application of Inclinometer Measurements for Relative Horizontal Displacement Investigations on Landslide Grounds." Reports on Geodesy and Geoinformatics 94, no. 1 (October 1, 2013): 6–13. http://dx.doi.org/10.2478/rgg-2013-0002.

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Abstract One of the basic criterion for safety evaluation of structures erected on embankment or sliding slopes is relative horizontal displacement at different elevations. Relative horizontal displacements beneath ground surfaces are performed with inclinometer measurements. This report presents results on horizontal relative ground displacements with the probe SISGEO S242SV30. Investigations were performed with two inclinometer columns 14m height embedded in Warsaw Bank Slope. Mean square error of single observation was determined and mean relative errors of relative displacements in relation to column height. On the basis measurement results several relevant recommendations and practical hints were formulated allowing to avoid survey blunders and discrepancies in measuring procedures often encountered. Detailed inclinometer horizontal displacement measurements results at Warsaw hillside St Ana’s Church grounds were listed and presented.
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37

Kaminski, Allison, and James McDaniel. "Predictions for the perturbed root mean square displacement of a vibrating structure using modal parameters." Journal of the Acoustical Society of America 151, no. 4 (April 2022): A178. http://dx.doi.org/10.1121/10.0011022.

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A harmonically vibrating structure is considered for this study and divided into segments. The objective of the proposed research is to use knowledge from the nominal structure to make predictions as to how the root mean squared (RMS) displacement of the structure will change when either the mass or stiffness of a segment is scaled. Typically, to calculate the value for the modified RMS displacement, a linear solve is required to determine the new displacement vector. Additionally, the Neumann series may be used. However, this approach requires computations of matrix-vector products, which may become expensive for larger Degrees of Freedom (DOF) systems. Here, a method is proposed to predict the RMS displacement for the modified system from scalar values of the nominal system. Since only scalar values from the nominal system are required, predictions for the perturbed system can be made cheaply. The proposed method is based on the modal displacement equation and the assumption that the system is forced near a natural frequency. This assumption is used in Rayleigh’s quotient to approximate the new natural frequency as a function of the approximated modal stiffness and mass. The limitations and accuracy will be explored. [Work supported by ONR Grant N00014-19-1-2100.]
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38

Ferrari, Leonardo. "Brownian particles in an external field: Asymptotic distribution functions and mean square displacement." Journal of Chemical Physics 132, no. 4 (January 28, 2010): 044907. http://dx.doi.org/10.1063/1.3298992.

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39

van Beijeren, Henk, and Ryszard Kutner. "Mean square displacement of a tracer particle in a hard-core lattice gas." Physical Review Letters 55, no. 2 (July 8, 1985): 238–41. http://dx.doi.org/10.1103/physrevlett.55.238.

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40

Sun, HongGuang, Wen Chen, Hu Sheng, and YangQuan Chen. "On mean square displacement behaviors of anomalous diffusions with variable and random orders." Physics Letters A 374, no. 7 (February 2010): 906–10. http://dx.doi.org/10.1016/j.physleta.2009.12.021.

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41

Magazù, S., G. Maisano, F. Migliardo, and A. Benedetto. "Mean square displacement from self-distribution function evaluation by elastic incoherent neutron scattering." Journal of Molecular Structure 882, no. 1-3 (June 2008): 140–45. http://dx.doi.org/10.1016/j.molstruc.2007.09.022.

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42

Abou Mandour, Mohsen, and Dietrich Harder. "Quantitative analysis of the mean square radial displacement of high energy electron beams." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 269, no. 1 (June 1988): 282–86. http://dx.doi.org/10.1016/0168-9002(88)90890-x.

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43

Digiacomo, Luca, Cristina Marchini, Michelle A. Digman, Enrico Gratton, and Giulio Caracciolo. "Intracellular Dynamics of Nanoparticles Probed by an Image-Derived Mean Square Displacement Approach." Biophysical Journal 112, no. 3 (February 2017): 296a—297a. http://dx.doi.org/10.1016/j.bpj.2016.11.1605.

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44

Krill, C. E., J. Li, C. Ettl, K. Samwer, W. B. Yelon, and W. L. Johnson. "Static mean-square displacement as an indicator of the crystal-to-amorphous transformation." Journal of Non-Crystalline Solids 156-158 (May 1993): 506–9. http://dx.doi.org/10.1016/0022-3093(93)90008-l.

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45

Berezhkovskii, A. M., Yu A. Makhnovskii, and R. A. Suris. "Mean square displacement of a Brownian particle with traps. The one-dimensional case." Physics Letters A 150, no. 5-7 (November 1990): 296–98. http://dx.doi.org/10.1016/0375-9601(90)90099-a.

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46

Perevalova, Olga, Elena Konovalova, Nina Koneva, Konstantin Ivanov, and Eduard Kozlov. "Relationship between Parameters of Solid Solution and Grain Boundary Ensemble in Pd3Fe Ordered Alloy with L12 Superstructure." Advanced Materials Research 1013 (October 2014): 91–96. http://dx.doi.org/10.4028/www.scientific.net/amr.1013.91.

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By X-ray diffraction and scanning electron microscopy using the method of back-scattered electrons the parameters of the solid solution (the lattice parameter and the mean-square displacement of atoms) and the grain boundary ensembles in the alloy Pd3Fe with the superstructure L12 have been investigated depending on the degree of the long-range atomic order. The relationship between the proportion of the twins Σ3 in the spectrum of special boundaries and the mean-square displacement of atoms was detected.
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47

MA, Y. H., L. M. GUO, L. ZHONG, and L. W. ZHOU. "DIFFUSING WAVE SPECTROSCOPY STUDY OF TAILING PHENOMENON OF COLLOIDAL ELECTRORHEOLOGY FLUIDS." International Journal of Modern Physics B 19, no. 07n09 (April 10, 2005): 1243–48. http://dx.doi.org/10.1142/s021797920503013x.

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Back scattering of diffusing wave spectroscopy (DWS) method is employed to measure the mean square displacements of the colloidal particles in electrorheological fluid systems right after an electric field is applied and removed. An electrorheological fluid consisting of colloidal particles 30-40 nm in size shows a tailing phenomenon, namely the clusters of the colloidal ER particles do not return to their original state of Brownian motion as soon as the electric filed is removed. The DWS results of above ER fluid shows that the mean square displacement remains small and changes slowly with time right after the electric field is removed. The Van der Waals attractive force between colloidal particles is used to explain this tailing phenomenon.
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48

Kabi, S., and A. Ghosh. "Ion dynamics in glassy ionic conductors: Scaling of mean square displacement of mobile ions." EPL (Europhysics Letters) 108, no. 3 (October 31, 2014): 36002. http://dx.doi.org/10.1209/0295-5075/108/36002.

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49

Ghosh, M., G. Ananthakrishna, S. Yashonath, P. Demontis, and G. Suffritti. "Probing Potential Energy Surfaces in Confined Systems: Behavior of Mean-Square Displacement in Zeolites." Journal of Physical Chemistry 98, no. 37 (September 1994): 9354–59. http://dx.doi.org/10.1021/j100088a043.

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50

Richthammer, Thomas. "Lower Bound on the Mean Square Displacement of Particles in the Hard Disk Model." Communications in Mathematical Physics 345, no. 3 (February 22, 2016): 1077–99. http://dx.doi.org/10.1007/s00220-016-2584-0.

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